Data Sufficiency Question 18
Directions: Each of the following questions consists of a question followed by three statements I, II and III. You have to study the question and the statements and decide which of the statement (s) is/are necessary to answer the question.
(IBPS Bank PO/MT
CWE-III 26.10.2013)
- What is the age of class teacher?
I. There are 11 students in the class.
II. The average age of students and the teacher is 14 years.
III. The average age of the teacher and students is 3 years more than that of students.
(1) Both I and III
(2) Both I and II
(3) II and either I or III
(4) All I, II and III
(5) None of these
Show Answer
Correct Answer: 18. (4)
Solution: 18. (4) From all three statements, Total age of 11 students +1 teacher
$=14 \times 12=168$ years
Average age of 11 students + teacher
$=$ Average age of 11 students + 3
$\Rightarrow$ Average age of 11 students $=$ $14-3=11$ years Their total age $=11 \times 11$
$=121$ years
Teacher’s age $=168-121$
$=47$ years